By deprecating the opinion to follow—suggesting its value is only two cents, a very small amount—the user of the phrase, showing politeness and humility, hopes to lessen the impact of a possibly contentious statement. However, the expression is also sometimes used ironically when expressing a strongly held opinion.

What does it mean 2 cents worth?

The American coin was substituted in the 1800s, along with two bits, slang for 25 cents and also meaning "a petty sum." Similarly, put in one's two cents or two cents' worth, meaning "to express one's unsolicited opinion for whatever it is worth," dates from the late 1800s.

Where did the term my two cents worth come from?

This idiom has been used since the late 1800s. It comes from the much 15th-century British use of twopence or tuppence to mean 'of little or no value; unimportant' which gave rise to the idioms for two cents and like two cents.